Commun. Math. Anal. Appl., 3 (2024), pp. 1-18.
Published online: 2024-03
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This paper is concerned with the relaxation limit of a three-dimensional quasi-linear hyperbolic-parabolic chemotaxis system modeling vasculogenesis when the initial data are prescribed around a constant ground state. When the relaxation time tends to zero (i.e. the damping is strong), we show that the strong-weak limit of the cell density and chemoattractant concentration satisfies a parabolic-elliptic Keller-Segel type chemotaxis system in the sense of distribution.
}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-0001}, url = {http://global-sci.org/intro/article_detail/cmaa/22938.html} }This paper is concerned with the relaxation limit of a three-dimensional quasi-linear hyperbolic-parabolic chemotaxis system modeling vasculogenesis when the initial data are prescribed around a constant ground state. When the relaxation time tends to zero (i.e. the damping is strong), we show that the strong-weak limit of the cell density and chemoattractant concentration satisfies a parabolic-elliptic Keller-Segel type chemotaxis system in the sense of distribution.